Dr. Ahmed G. Abo-Khalil

Electrical Engineering Department

Linear stability

In mathematics, in the theory of differential equations and dynamical systems, a particular stationary or quasistationary solution to a nonlinear system is called linearly unstable if the linearization of the equation at this solution has the form frac{dr}{dt}=A r, where A is a linear operator whose spectrum contains eigenvalues with positive real part. If there are no such eigenvalues, the solution is called linearly stable. Other names for linear stability include spectral, or exponentialstability.

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